Progressive Type-II Censoring Schemes of Extended Odd Weibull Exponential Distribution with Applications in Medicine and Engineering

Mathematics

R. Alshenawy¹  Ali Al-Alwan¹  EhabM. Almetwally²  HishamM. Almongy³  AhmedZ. Afify⁴ 

[1] Department of Mathematics and Statistics, College of Science, King Faisal University P.O. Box 400, Al-Ahsa 31982, Saudi Arabia;Department of Statistics, Faculty of Business Administration, Delta University of Science and Technology, El-Mansoura 11152, Egypt;Department of Statistics, Faculty of Commerce Mansoura University, El-Mansoura 35516, Egypt;Department of Statistics, Mathematics and Insurance, Benha University, Benha 13511, Egypt;

关键词: exponential distribution;    progressive type-II censoring;    maximum likelihood estimation;    maximum product spacing;    bootstrap confidence intervals;   

DOI  :  10.3390/math8101679

来源: DOAJ

【 摘 要 】

In this paper, the parameters of the extended odd Weibull exponential distribution are estimated under progressive type-II censoring scheme with random removal. The model parameters are estimated using the maximum product spacing and maximum likelihood estimation methods. Further, we explore the asymptotic confidence intervals and bootstrap confidence intervals for the model parameters. Monte Carlo simulations are performed to compare between the proposed estimation methods under progressive type-II censoring scheme. An empirical study using two real datasets form engineering and medicine fields to validate the introduced methods of inference. Based on our study, we can conclude that the maximum product of spacing method outperforms the maximum likelihood method for estimating the extended odd Weibull exponential (EOWE) parameters under a progressive type-II censoring scheme in both numerical and empirical cases.

【 授权许可】

Unknown